27_Problem CHAPTER 9

27_Problem CHAPTER 9 - PROBLEM 9.32 Determine the moment of...

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PROBLEM 9.32 Determine the moment of inertia and the radius of gyration of the shaded area with respect to the x axis. SOLUTION First note that 123 A AAA =−− ( )( ) ( )( ) ( )( ) () 2 2 100 mm 120 mm 80 mm 40 mm 80 mm 20 mm 7200 mm 12 000 3200 1600 mm 7200 mm =− = = Now ( ) ( ) ( ) x xx x I III where 3 64 1 1 100 mm 120 mm 14.4 10 mm 12 x I == × ( ) 32 26 4 2 1 80 mm 40 mm 3200 mm 40 mm 5.5467 10 mm
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